Stochastic sensitivity analysis by dimensional decomposition and score functions

Probabilistic Engineering Mechanics

Volumn 24, Issue 3, 2009, Pages 278-287

  Rahman, Sharif ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Gradients; Monte Carlo simulation; Optimization; Reliability; Reliability based design; Robust design

Indexed keywords

DISTRIBUTION FUNCTIONS; MACHINE DESIGN; MECHANICS; MECHATRONICS; METHOD OF MOMENTS; MONTE CARLO METHODS; MOORING; NUMERICAL METHODS; OPERATIONS RESEARCH; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; RELIABILITY; STEEL STRUCTURES;

BIVARIATE; COMPUTATIONALLY EFFICIENT; DECOMPOSITION METHODS; GRADIENTS; HIERARCHICAL DECOMPOSITIONS; LAGRANGE INTERPOLATIONS; MECHANICAL SYSTEMS; MONTE CARLO SIMULATION; MULTIVARIATE RESPONSE; NEW CLASS; NUMERICAL INTEGRATIONS; NUMERICAL RESULTS; PERFORMANCE FUNCTIONS; PROBABILISTIC RESPONSE; RANDOM INPUTS; RELIABILITY-BASED DESIGN; ROBUST DESIGN; SCORE FUNCTIONS; STATISTICAL MOMENTS; STOCHASTIC ANALYSIS; STOCHASTIC DESIGNS; STOCHASTIC SENSITIVITY ANALYSIS; STOCHASTIC SENSITIVITY MEASURES; UNIVARIATE;

SENSITIVITY ANALYSIS;

EID: 63449136423     PISSN: 02668920     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.probengmech.2008.07.004     Document Type: Article

References (21)

1. Melchers R.E., and Ahammed M. A fast approximate method for parameter sensitivity estimation in monte carlo structural reliability. Computers & Structures 82 1 (2004) 55-61
2. Au S.K. Reliability-based design sensitivity by efficient simulation. Computers & Structures 83 14 (2005) 1048-1061
3. Du X., and Chen W. Efficient uncertainty analysis methods for multidisciplinary robust design. AIAA Journal 40 3 (2002) 545-552
4. Enevoldsen I., and Sorensen J.D. Reliability-based optimization in structural engineering. Structural Safety 15 (1994) 169-196
5. L'Ecuyer P., and Perron G. On the convergence rates of IPA and FDC derivative estimators. Operations Research 42 4 (1994) 643-656
6. Ho Y.C., and Cao X.R. Discrete event dynamic systems and perturbation analysis (1991), Kluwer, Norwell (MA)
7. Glasserman P. Gradient estimation via perturbation analysis (1991), Kluwer, Norwell (MA)
8. Rubinstein R.Y., and Shapiro A. Discrete event systems - sensitivity analysis and stochastic optimization by the score function method (1993), John Wiley & sons, New York (NY)
9. L'Ecuyer P. A unified view of the IPA, SF, and LR gradient estimation techniques. Management Science 36 11 (1990) 1364-1383
10. Haug E.J., Choi K.K., and Komkov V. Design sensitivity analysis of structural systems (1986), Academic Press, New York (NY)
11. Liu P.-L., and Der Kiureghian A. Finite element reliability of geometrically nonlinear uncertain structures. ASCE Journal of Engineering Mechanics 17 (1991) 1806-1825
12. Rahman S., and Xu H. A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics. Probabilistic Engineering Mechanics 19 (2004) 393-408
13. Xu H., and Rahman S. A generalized dimension-reduction method for multi-dimensional integration in stochastic mechanics. International Journal for Numerical Methods in Engineering 61 (2004) 1992-2019
14. Xu H., and Rahman S. Decomposition methods for structural reliability analysis. Probabilistic Engineering Mechanics 20 (2005) 239-250
15. Browder A. Mathematical analysis: An introduction (1996), Springer-Verlag, New York (NY)
16. Ditlevsen O., Melchers R.E., and Gluver H. General multi-dimensional probability integration by directional simulation. Computers & Structures 36 2 (1990) 355-368
17. Anderson T.L. Fracture mechanics: Fundamentals and applications. 3rd ed. (2005), CRC Press Inc, Boca Raton (FL)
18. ABAQUS. User's Guide and Theoretical Manual, Version 6.6 (2006), ABAQUS, Inc., Providence, RI
19. Rahman S. A stochastic model for elastic-plastic fracture analysis of circumferential through-wall-cracked pipes subject to bending. Engineering Fracture Mechanics 52 2 (1995) 265-288
20. Rahman S. A dimensional decomposition method for stochastic fracture mechanics. Engineering Fracture Mechanics 73 (2006) 2093-2109
21. DOT - Design Optimization Tools, User's Manual, Version 5.7, Vanderplaats Research and Development, Inc., Colorado Springs, CO, 2001